Search a number
-
+
38735232 = 273149677
BaseRepresentation
bin1001001111000…
…0110110000000
32200212221202020
42103300312000
534404011412
63502121440
7650146464
oct223606600
980787666
1038735232
111a957398
1210b80280
138042c73
1452044a4
15360218c
hex24f0d80

38735232 has 64 divisors (see below), whose sum is σ = 103734000. Its totient is φ = 12806144.

The previous prime is 38735227. The next prime is 38735251. The reversal of 38735232 is 23253783.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 38735193 and 38735202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56878 + ... + 57554.

Almost surely, 238735232 is an apocalyptic number.

38735232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38735232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51867000).

38735232 is an abundant number, since it is smaller than the sum of its proper divisors (64998768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38735232 is a wasteful number, since it uses less digits than its factorization.

38735232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 831 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 38735232 is about 6223.7634916504. The cubic root of 38735232 is about 338.3519786101.

The spelling of 38735232 in words is "thirty-eight million, seven hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 298 384 447 596 677 894 1192 1354 1788 2031 2384 2708 3576 4062 4768 5416 7152 8124 9536 10832 14304 16248 19072 21664 28608 32496 43328 57216 64992 86656 100873 129984 201746 259968 302619 403492 605238 806984 1210476 1613968 2420952 3227936 4841904 6455872 9683808 12911744 19367616 38735232